Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240k |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23021571686400 = 214 · 34 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7281,64881] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:459:1] [-55:544:1] |
Generators of the group modulo torsion |
j |
2605772594896/1405125225 |
j-invariant |
L |
9.1542762563177 |
L(r)(E,1)/r! |
Ω |
0.59054043653298 |
Real period |
R |
3.8753807915718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240jg2 14280x2 |
Quadratic twists by: -4 8 |